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Finding the Fourth Proportional to 6,514.94, 8,990.60 and 3,530.76

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Solution

The fourth proportional to 6,514.94, 8,990.60 and 3,530.76 is: 4,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.94 : 8,990.60 = 3,530.76 : x
  2. Step 2: Convert to fraction form
    6,514.94/8,990.60 = 3,530.76/x
  3. Step 3: Cross multiply
    6,514.94x = 8,990.60 × 3,530.76
  4. Step 4: Simplify right side
    6,514.94x = 31,743,633.20
  5. Step 5: Solve for x
    x = 31,743,633.20/6,514.94
  6. Step 6: Final answer
    x = 4,872.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.